Answer:
x=8 x=-2
Step-by-step explanation:
|x-3| -10=-5
Add 10 to each side
|x-3| -10+10=-5+10
|x-3| =5
Now separate into two equations , one positive and one negative
x-3 = 5 x-3 = -5
Add 3 to each side
x-3+3 = 5+3 x-3+3 = -5 +3
x=8 x=-2
Answer:
The slope is 2/3 and the function is y=2/3x which is a direct variation function.
Step-by-step explanation:
To find the slope of a line between two points, we use the equation
m = (y2-y1)/ (x2-x1)
where (x1,y1) and (x2,y2) are the two points
m= (4-2)/(6-3)
= 2/3
The slope of the line is 2/3
The equation of the line is
y-y1 = m(x-x1)
y-2 = 2/3(x-3)
Distribute
y-2 = 2/3x -2
Add 2 to each side
y-2+2 = 2/3x -2+2
y = 2/3x
This is a direct variation function
Let x = -6
y = 2/3(-6)
y = -4
(-6,-4)
Answer:
True
Step-by-step explanation:
2x+5=x-3 is (-8)
This is the correct answer
Answer:
He is incorrect
Step-by-step explanation:
Given
3(x + 1) - 5 = 3x - 2 ← simplify left side
3x + 3 - 5 = 3x - 2
3x - 2 = 3x - 2
Since both sides are equal, then this indicates that the equation has infinite solutions.
Answer:
Step-by-step explanation:
we have
we know that
If a ordered pair is a solution of the inequality
then
the ordered pair must be located on the shaded area of the solution of the inequality
Using a graphing tool
Graph the inequality and plot the points
see the attached figure
The point A is located on the shaded area
therefore
the point A is a solution of the inequality
